Digital Signal Processing

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Global Chaos Synchronization of Chen and Cai Systems by Active Nonlinear Control


Affiliations
1 Research and Development Centre, Vel Tech Dr. RR & Dr. SR Technical University, Avadi, Chennai-600 062, Tamil Nadu, India
2 School of Electronics and Electrical Engineering, Singhania University, Pacheri Bari, Dist. Jhunjhunu, Rajastan-333 515, India
     

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In this paper, we study the global chaos synchronization of identical Chen systems (1999), identical Cai systems (2007) and non-identical Chen and Cai systems. In this paper, active nonlinear control has been deployed for the synchronization of identical and non-identical Chen and Cai systems and synchronization results are proved using Lyapunov stability theory. Since the Lyapunov exponents are not required for these calculations, the active nonlinear control method is very effective and convenient to synchronize Chen and Cai systems. Numerical simulations are also given to illustrate the effectiveness of the synchronization schemes proposed in this paper for Chen and Cai systems.

Keywords

Chaos Synchronization, Nonlinear Control, Chen System, Cai System.
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  • Global Chaos Synchronization of Chen and Cai Systems by Active Nonlinear Control

Abstract Views: 165  |  PDF Views: 3

Authors

V. Sundarapandian
Research and Development Centre, Vel Tech Dr. RR & Dr. SR Technical University, Avadi, Chennai-600 062, Tamil Nadu, India
R. Karthikeyan
School of Electronics and Electrical Engineering, Singhania University, Pacheri Bari, Dist. Jhunjhunu, Rajastan-333 515, India

Abstract


In this paper, we study the global chaos synchronization of identical Chen systems (1999), identical Cai systems (2007) and non-identical Chen and Cai systems. In this paper, active nonlinear control has been deployed for the synchronization of identical and non-identical Chen and Cai systems and synchronization results are proved using Lyapunov stability theory. Since the Lyapunov exponents are not required for these calculations, the active nonlinear control method is very effective and convenient to synchronize Chen and Cai systems. Numerical simulations are also given to illustrate the effectiveness of the synchronization schemes proposed in this paper for Chen and Cai systems.

Keywords


Chaos Synchronization, Nonlinear Control, Chen System, Cai System.